Functional compression-expansion fixed point theorem
Electronic Journal of Differential Equations, Tome 2008 (2008).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: This paper presents a generalization of the fixed point theorems of compression and expansion of functional type. As an application, the existence of a positive solution to a second order conjugate boundary value problem is considered. We conclude with an extension to multivalued maps.
Classification : 47H10
Keywords: fixed-point theorems, cone, positive solutions, multivalued maps
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     author = {Avery, Richard and Henderson, Johnny and O'Regan, Donal},
     title = {Functional compression-expansion fixed point theorem},
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     year = {2008},
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Avery, Richard; Henderson, Johnny; O'Regan, Donal. Functional compression-expansion fixed point theorem. Electronic Journal of Differential Equations, Tome 2008 (2008). http://geodesic.mathdoc.fr/item/EJDE_2008__2008__a22/